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- Question
There are two numbers such that the sum of twice the first and thrice the second is 39, while the sum of thrice the first, and twice the second is 36. The larger of the two is :
Options- A. 3
- B. 6
- C. 9
- D. 12
- Correct Answer
- 9
ExplanationLet the numbers be x and y. Then, 2x + 3y = 39...(i)and 3x + 2y = 30 ...(ii)
On solving (i) and (ii), we get : x = 6 and y = 9.
larger number = 9
- 1. A car driver covers a distance between two cities at a speed of 60 km/h and on the return his speed is 40 km/h. He goes again from the 1st to the 2nd city at twice the original speed and returns at half the original return speed. Find his average speed for entire journey?
Options- A. 55 km/h
- B. 50 km/h
- C. 48 km/h
- D. 40 km/h Discuss
- 2. A train of length 110 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Options- A. 10
- B. 8
- C. 6
- D. 4 Discuss
- 3. The least number to be added to 13851 to get a number which is divisible by 87 is
Options- A. 18
- B. 43
- C. 54
- D. 69 Discuss
- 4. A non-zero number is greater than 7 times its reciprocal by 9.3. What is the number?
Options- A. 10
- B. 20
- C. 5
- D. 14 Discuss
- 5. What is the sum of the first 12 terms of an arithmetic progression if the first term is 3 and last term is 47?
Options- A. 260
- B. 300
- C. 280
- D. 220 Discuss
- 6. The average of four consecutive odd numbers is 40. What is the largest number?
Options- A. 42
- B. 45
- C. 43
- D. 44 Discuss
- 7. Of the 3 numbers whose average is 40, the first is 1/3 rd the sum of other 2. What is the first number?
Options- A. 20
- B. 50
- C. 25
- D. 30 Discuss
- 8. The sum of a fraction and 7 times its reciprocal is 11/2. What is the fraction?
Options- A. 7/2
- B. 2/7
- C. 3/4
- D. 4/3 Discuss
- 9. M is the largest three digit number which when divided by 6 and 5 leaves remainder 5 and 3 respectively. What will be the remainder when M is divided by 11?
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 10. Two numbers are 40% and 80% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?
Options- A. 100
- B. 33.3
- C. 66.6
- D. 200 Discuss
More questions
Correct Answer: 40 km/h
Explanation:
Required average speed = 4/(1/60 + 1/40 + 1/120 +1/20)
= (4 x 120)/12 = 40 km/h
Correct Answer: 6
Correct Answer: 69
Correct Answer: 10
Correct Answer: 300
Correct Answer: 43
Correct Answer: 30
Correct Answer: 7/2
Correct Answer: 4
Correct Answer: 200
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